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Annals of the New York Academy of Sciences

Quantum Theory, Relativity, and the Bohm Model

Euan J. Squires

Published Apr 1, 1995• 1 citation
Publisher
DOI
10.1111/j.1749-6632.1995.tb38988.x

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We have demonstrated spatially-discontinuous jumps of electrons at a distance as long as about 1cm. The effect occurs in a modified integer quantum Hall system consisted of a great number of extended Laughlin-Halperin-type states. Our observations directly contradict the no-aether Einstein's interpretation of special relativity together with the Minkowski's model of spacetime. However they are consistent with the aether-related Lorentz-Poincare's interpretation that allows absolute simultaneity. We thus strongly challenge the fundamental status of Lorentz invariance and hence break the basic argument against de Broglie-Bohm realistic quantum theory. We argue that both de Broglie-Bohm and Lorentz-Poincare theories are capable of providing a real synthesis of quantum and relativity theories. The synthesis is of such kind that quantum theory appears the most fundamental physical theory for which relativity is only a limiting case. In accordance with this hierarchy, quantum theory naturally resolves the problem of aether in Lorentz-Poincare's relativity. The aether could be a deeper Bohm-type undivided quantum pre-space, the relevance of which directly follows from our observations.
Einstein’s 1919 distinction between “principle theories” and ”constructive theories” has been applied by Jeffrey Bub to classify the Copenhagen interpretation of quantum mechanics (QM) as a principle theory agree with this classification. Additionally, I argue that Bohm’s interpretation of QM fits Einstein’s concept of a constructive theory. Principle theories include empirically established laws or principles, such as the first and second laws of thermodynamics or the principles of special relativity, including the Born Rule of QM. According to Einstein, principle theories offer ”security in their foundations and logical perfection”. However, ultimate understanding requires constructive theories, which build complex phenomena from simpler models. Constructive theories provide intelligible models of physical phenomena. Bohm’s QM, with its added microstructure, presents such a model. In this framework, quantum phenomena appear from statistical ensembles of microparticles in motion, with deterministic particle trajectories guided by the wave function. This reveals how Bohm’s account offers a constructive model for understanding quantum phenomena.
We perform an experimental test where we directly observe light-induced electron transitions with a macroscopic spatial discontinuity. The effect is related to the fundamental indivisibility of macroscopic orbit-like quantum states reminiscent of so-called extended states in the integer quantum Hall system. The test has become realizable due to the discovering of a quantum phase with spontaneous pervasive quantum ordering reminiscent of that of a single atom. The observed transitions may be regarded as a peculiar quantum dynamics beyond relativity, which implies that the current relativistic model of universe should be replaced by a deeper quantum model. It is the Bohm’s model of undivided universe which now should involve a deeper-than-classical concept of absolute simultaneity and a deeper-than-relativistic concept of space and time. Ultimately, our test thus establishes a new hierarchy of fundamental physical theories where the de Broglie-Bohm realistic quantum theory is the deepest theory which does not contradict either classical physics or relativity but rather is beyond both. This is because the fact that quantum theory is dealing with a deeper reality where physical objects are not self-sufficient entities and therefore they can transit discontinuously within an overall quantum system determined by their wavefunctions.